MECH 0016 Finite Element Analysis

Assignment – Fall 2018

Module: Finite Element Analysis (MECH 0016)

mech-0016-finite-element-analysis

Instructions

Present the relevant references /citation at the end of document.

The project work has to be done in group and the number of group members should be 2 to 4.

You have to submit the final report along with the simulation saved file (Report mark = 70%, ANSYS simulation = 30%).

For individual assessment each group member will present the group work and his contribution in the project work.

If the report is copied in part or whole from other sources, then MEC policy on plagiarism (See the plagiarism rules and clarifications in the students’ handbook) will apply.

The write up of the report should follow the contents given in this guide.

Any late submissions after the due date will be treated as per MEC late submission policy.

Feedback will be given in every week class sessions as required in addition to the feedback which will be given in Moodle for every submission.

Introduction

Gear is basically a toothed wheel. But, it is one of the most important machine elements in mechanical power transmission system. It has a wide range of applications starting from wrist watch to heavy industries due to its high degree of reliability and compactness (Karaveer et al., 2013). In this project, the students are required to conduct a comprehensive Finite Element Analysis using ANSYS software and submit a complete report in the final stage.

Gear Design

The general dimensions of the gear shown in Table 1 and the shape of the spur gear tooth is shown in Figure 1.

Finite Element Analysis (MECH 0016)-Fall 18-R/S-QP

Table 1: Specification of spur gear tooth

Consider torque T = 132 N-m at 3000 rpm The Tangential load can be obtain by = 2× (1)

The theoretical bending stress is given by= (2) ( × × ) 16 h3 Value of deflection is obtained by = (3)

Boundary Conditions

Based on the assumptions of Lewis equation, the boundary conditions are set in ANSYS model. The fixed support is used at the root end of the tooth and the force is applied on the face having components in Y and Z directions. The tangential force (Ft) having magnitude 1466.67 N has been introduced with component at Y and Z direction as 1378.2 N and 501.6 N respectively.

Points to be covered

In ANSYS software develop the spur gear tooth model, then, perform the following

Finite Element Analysis (MECH 0016)-Fall 18-R/S-QP

1. Generate the mesh and perform the mesh sensitivity analysis, then, show the optimum elements number.

1. Conduct modal analysis and identify the first four modes (natural frequency) of the spur tooth.

• Conduct static analysis by applying the tangential force on the tooth face, then, determine the maximum Von Mises stress along with the maximum deformation.

IV.

Conduct Transient analysis by assuming the load is not constant load (Assume any dynamic function to represent the transient load), then, plot transients Von Mises stresses and displacements.

1. Compare the theoretical results obtained from Eq. (1) – (3) with the numerical results and identify the accuracy.

Reference

KARAVEER, V., MOGREKAR, A. & JOSEPH, T. P. R. 2013. Modeling and finite element analysis of spur gear. International Journal of Current Engineering and Technology, 3, 2104-2107.

Notes: Students are free to select any other mechanical components, however, they should re-formulate the problem and write the report in a manner that cover the aforementioned points

Table 1: Mark distributions